Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Zwicknagl, Barbara"'
We consider a one-dimensional version of a variational model for pattern formation in biological membranes. The driving term in the energy is a coupling between the order parameter and the local curvature of the membrane. We derive scaling laws for t
Externí odkaz:
http://arxiv.org/abs/2409.16134
We study pattern formation within the $J_1$-$J_3$ - spin model on a two-dimensional square lattice in the case of incompatible (ferromagnetic) boundary conditions on the spin field. We derive the discrete-to-continuum $\Gamma$-limit at the helimagnet
Externí odkaz:
http://arxiv.org/abs/2406.08339
We study scaling laws for singular perturbation problems associated with a class of two-dimensional martensitic phase transformations and deduce a domain dependence of the scaling law in the singular perturbation parameter. In these settings the resp
Externí odkaz:
http://arxiv.org/abs/2405.05927
A static variational model for shape formation in heteroepitaxial crystal growth is considered. The energy functional takes into account surface energy, elastic misfit-energy and nucleation energy of dislocations. A scaling law for the infimal energy
Externí odkaz:
http://arxiv.org/abs/2403.13646
We consider a singularly-perturbed two-well problem in the context of planar geometrically linear elasticity to model a rectangular martensitic nucleus in an austenitic matrix. We derive the scaling regimes for the minimal energy in terms of the prob
Externí odkaz:
http://arxiv.org/abs/2003.04095
Publikováno v:
In Journal of the Mechanics and Physics of Solids October 2023 179
We study the geometry of needle-shaped domains in shape-memory alloys. Needle-shaped domains are ubiquitously found in martensites around macroscopic interfaces between regions which are laminated in different directions, or close to macroscopic aust
Externí odkaz:
http://arxiv.org/abs/1912.02274
Autor:
Cesana, Pierluigi, Della Porta, Francesco, Rüland, Angkana, Zillinger, Christian, Zwicknagl, Barbara
In this article we deduce necessary and sufficient conditions for the presence of `Conti-type', highly symmetric, exactly-stress free constructions in the geometrically non-linear, planar $n$-well problem, generalising results of [CKZ17]. Passing to
Externí odkaz:
http://arxiv.org/abs/1904.08820
In this article we continue our study of higher Sobolev regularity of flexible convex integration solutions to differential inclusions arising from applications in materials sciences. We present a general framework yielding higher Sobolev regularity
Externí odkaz:
http://arxiv.org/abs/1709.02880
Autor:
Conti, Sergio1 (AUTHOR), Zwicknagl, Barbara2 (AUTHOR) barbara.zwicknagl@hu-berlin.de
Publikováno v:
Archive for Rational Mechanics & Analysis. Aug2023, Vol. 247 Issue 4, p1-44. 44p.